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Finding the Fourth Proportional to 487.47, 731.63 and 305.22

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Solution

The fourth proportional to 487.47, 731.63 and 305.22 is: 458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.47 : 731.63 = 305.22 : x
  2. Step 2: Convert to fraction form
    487.47/731.63 = 305.22/x
  3. Step 3: Cross multiply
    487.47x = 731.63 × 305.22
  4. Step 4: Simplify right side
    487.47x = 223,308.87
  5. Step 5: Solve for x
    x = 223,308.87/487.47
  6. Step 6: Final answer
    x = 458.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.